Acquirer firm plans to launch a takeover of Target firm. The deal is expected to create a present value of synergies totaling $**2** million. A **cash** offer will be made that pays the fair price for the target's shares plus **70**% of the total synergy value. The cash will be paid out of the firm's cash holdings, no new debt or equity will be raised.

Firms Involved in the Takeover | ||

Acquirer | Target | |

Assets ($m) | 60 | 10 |

Debt ($m) | 20 | 2 |

Share price ($) | 10 | 8 |

Number of shares (m) | 4 | 1 |

Ignore transaction costs and fees. Assume that the firms' debt and equity are fairly priced, and that each firms' debts' risk, yield and values remain constant. The acquisition is planned to occur immediately, so ignore the time value of money.

Calculate the merged firm's share price and total number of shares after the takeover has been completed.

**Question 96** bond pricing, zero coupon bond, term structure of interest rates, forward interest rate

An Australian company just issued two bonds paying semi-annual coupons:

- 1 year zero coupon bond at a yield of 8% pa, and a
- 2 year zero coupon bond at a yield of 10% pa.

What is the forward rate on the company's debt from years 1 to 2? Give your answer as an APR compounding every **6** months, which is how the above bond yields are quoted.

A company has:

- 50 million shares outstanding.
- The market price of one share is currently $6.
- The risk-free rate is 5% and the market return is 10%.
- Market analysts believe that the company's ordinary shares have a beta of
**2**. - The company has 1 million preferred stock which have a face (or par) value of $100 and pay a constant dividend of 10% of par. They currently trade for $80 each.
- The company's debentures are publicly traded and their market price is equal to 90% of their face value.
- The debentures have a total face value of $60,000,000 and the current yield to maturity of corporate debentures is 10% per annum. The corporate tax rate is 30%.

What is the company's after-tax weighted average cost of capital (WACC)? Assume a classical tax system.

Which firms tend to have **low** forward-looking price-earnings (PE) ratios?

Only consider firms with positive earnings, disregard firms with negative earnings and therefore negative PE ratios.

**Question 353** income and capital returns, inflation, real and nominal returns and cash flows, real estate

A residential investment property has an expected **nominal** total return of **6**% pa and nominal capital return of **3**% pa.

Inflation is expected to be **2**% pa. All rates are given as effective annual rates.

What are the property's expected **real** total, capital and income returns? The answer choices below are given in the same order.

Interest expense (IntExp) is an important part of a company's income statement (or 'profit and loss' or 'statement of financial performance').

How does an **accountant** calculate the annual interest expense of a fixed-coupon bond that has a liquid secondary market? Select the most correct answer:

Annual interest expense is equal to:

You own an apartment which you rent out as an investment property.

What is the price of the apartment using discounted cash flow (DCF, same as NPV) valuation?

Assume that:

- You just signed a contract to rent the apartment out to a tenant for the next 12 months at $2,000 per month, payable in advance (at the start of the month, t=0). The tenant is just about to pay you the first $2,000 payment.
- The contract states that monthly rental payments are fixed for 12 months. After the contract ends, you plan to sign another contract but with rental payment increases of 3%. You intend to do this every year.

So rental payments will increase at the start of the 13th month (t=12) to be $2,060 (=2,000(1+0.03)), and then they will be constant for the next 12 months.

Rental payments will increase again at the start of the 25th month (t=24) to be $2,121.80 (=2,000(1+0.03)^{2}), and then they will be constant for the next 12 months until the next year, and so on. - The required return of the apartment is 8.732% pa, given as an effective annual rate.
- Ignore all taxes, maintenance, real estate agent, council and strata fees, periods of vacancy and other costs. Assume that the apartment will last forever and so will the rental payments.

Three years ago Frederika bought a house for $**400,000**.

Now it's worth $**600,000**, based on recent similar sales in the area.

Frederika's residential property has an expected **total** return of **7**% pa.

She rents her house out for $**2,500** per month, paid in advance. Every 12 months she plans to increase the rental payments.

The present value of 12 months of rental payments is $**29,089.48**.

The future value of 12 months of rental payments one year ahead is $**31,125.74**.

What is the expected annual **capital** yield of the property?

A large proportion of a levered firm's assets is cash held at the bank. The firm is financed with half equity and half debt.

Which of the following statements about this firm's enterprise value (EV) and total asset value (V) is **NOT** correct?

**Question 415** income and capital returns, real estate, no explanation

You just bought a residential apartment as an investment property for $**500,000**.

You intend to rent it out to tenants. They are ready to move in, they would just like to know how much the monthly rental payments will be, then they will sign a twelve-month lease.

You require a total return of **8**% pa and a rental yield of **5**% pa.

What would the monthly paid-in-advance rental payments have to be this year to receive that 5% annual rental yield?

Also, if monthly rental payments can be increased each year when a new lease agreement is signed, by how much must you increase rents per year to realise the 8% pa total return on the property?

Ignore all taxes and the costs of renting such as maintenance costs, real estate agent fees, utilities and so on. Assume that there will be no periods of vacancy and that tenants will promptly pay the rental prices you charge.

Note that the first rental payment will be received at t=0. The first lease agreement specifies the first 12 equal payments from t=0 to 11. The next lease agreement can have a rental increase, so the next twelve equal payments from t=12 to 23 can be higher than previously, and so on forever.

**Question 419** capital budgeting, NPV, interest tax shield, WACC, CFFA, CAPM, no explanation

Project Data | ||

Project life | 1 year | |

Initial investment in equipment | $6m | |

Depreciation of equipment per year | $6m | |

Expected sale price of equipment at end of project | 0 | |

Unit sales per year | 9m | |

Sale price per unit | $8 | |

Variable cost per unit | $6 | |

Fixed costs per year, paid at the end of each year | $1m | |

Interest expense in first year (at t=1) | $0.53m | |

Tax rate | 30% | |

Government treasury bond yield | 5% | |

Bank loan debt yield | 6% | |

Market portfolio return | 10% | |

Covariance of levered equity returns with market | 0.08 | |

Variance of market portfolio returns | 0.16 | |

Firm's and project's debt-to-assets ratio |
50% | |

**Notes**

- Due to the project, current assets will increase by $
**5**m now (t=0) and fall by $**5**m at the end (t=1). Current liabilities will not be affected.

**Assumptions**

- The debt-to-assets ratio will be kept constant throughout the life of the project. The amount of interest expense at the end of each period has been correctly calculated to maintain this constant debt-to-equity ratio.
- Millions are represented by 'm'.
- All cash flows occur at the start or end of the year as appropriate, not in the middle or throughout the year.
- All rates and cash flows are real. The inflation rate is 2% pa.
- All rates are given as effective annual rates.
- The 50% capital gains tax discount is not available since the project is undertaken by a firm, not an individual.

What is the net present value (NPV) of the project?

A fixed coupon bond was bought for $90 and paid its annual coupon of $3 one year later (at t=1 year). Just after the coupon was paid, the bond price was $92 (at t=1 year). What was the total return, capital return and income return? Calculate your answers as effective annual rates.

The choices are given in the same order: ## r_\text{total},r_\text{capital},r_\text{income} ##.